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Finding the Fourth Proportional to 166,576, 249,864.24 and 68,080

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Solution

The fourth proportional to 166,576, 249,864.24 and 68,080 is: 102,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,576 : 249,864.24 = 68,080 : x
  2. Step 2: Convert to fraction form
    166,576/249,864.24 = 68,080/x
  3. Step 3: Cross multiply
    166,576x = 249,864.24 × 68,080
  4. Step 4: Simplify right side
    166,576x = 17,010,757,459.20
  5. Step 5: Solve for x
    x = 17,010,757,459.20/166,576
  6. Step 6: Final answer
    x = 102,120.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.